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Finding the Third Proportional to 113,907 and 247,470

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Solution

The third proportional to 113,907 and 247,470 is: 537,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,907 : 247,470 = 247,470 : x
  2. Step 2: Convert to fraction form
    113,907/247,470 = 247,470/x
  3. Step 3: Cross multiply
    113,907x = 247,470 × 247,470
  4. Step 4: Simplify right side
    113,907x = 61,241,400,900
  5. Step 5: Solve for x
    x = 61,241,400,900/113,907
  6. Step 6: Final answer
    x = 537,643.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.